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Finding the Fourth Proportional to 7,772.48, 10,725.60 and 4,460.48

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Solution

The fourth proportional to 7,772.48, 10,725.60 and 4,460.48 is: 6,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.48 : 10,725.60 = 4,460.48 : x
  2. Step 2: Convert to fraction form
    7,772.48/10,725.60 = 4,460.48/x
  3. Step 3: Cross multiply
    7,772.48x = 10,725.60 × 4,460.48
  4. Step 4: Simplify right side
    7,772.48x = 47,841,324.29
  5. Step 5: Solve for x
    x = 47,841,324.29/7,772.48
  6. Step 6: Final answer
    x = 6,155.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.